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Finding the Third Proportional to 76,760.44 and 166,567.31

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Solution

The third proportional to 76,760.44 and 166,567.31 is: 361,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760.44 : 166,567.31 = 166,567.31 : x
  2. Step 2: Convert to fraction form
    76,760.44/166,567.31 = 166,567.31/x
  3. Step 3: Cross multiply
    76,760.44x = 166,567.31 × 166,567.31
  4. Step 4: Simplify right side
    76,760.44x = 27,744,669,593.47
  5. Step 5: Solve for x
    x = 27,744,669,593.47/76,760.44
  6. Step 6: Final answer
    x = 361,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.